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Standing Wave Height for Average Horizontal Velocity at Node Formula

GoStanding Wave Height given Maximum Horizontal Particle Excursion at Node Formula

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Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress. Check FAQs

H wave = \frac{V' \cdot π \cdot d \cdot T n}{λ}

H_wave - Wave Height?V' - Average Horizontal Velocity at a Node?d - Water Depth at Harbor?T_n - Natural Free Oscillating Period of a Basin?λ - Wavelength?π - Archimedes' constant?

Standing Wave Height for Average Horizontal Velocity at Node Example

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Here is how the Standing Wave Height for Average Horizontal Velocity at Node equation looks like with Values.

Here is how the Standing Wave Height for Average Horizontal Velocity at Node equation looks like with Units.

Here is how the Standing Wave Height for Average Horizontal Velocity at Node equation looks like.

33.6452 = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{26.8}

33.6452m = \frac{49.7m/s \cdot 3.1416 \cdot 1.05m \cdot 5.5s}{26.8m}

33.6452 = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{26.8}

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Standing Wave Height for Average Horizontal Velocity at Node Solution

Follow our step by step solution on how to calculate Standing Wave Height for Average Horizontal Velocity at Node?

FIRST Step Consider the formula

H wave = \frac{V' \cdot π \cdot d \cdot T n}{λ}

Next Step Substitute values of Variables

∴

H wave = \frac{49.7m/s \cdot π \cdot 1.05m \cdot 5.5s}{26.8m}

Next Step Substitute values of Constants

∴

H wave = \frac{49.7m/s \cdot 3.1416 \cdot 1.05m \cdot 5.5s}{26.8m}

Next Step Prepare to Evaluate

∴

H wave = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{26.8}

Next Step Evaluate

∴

H wave = 33.6452264720787m

LAST Step Rounding Answer

∴

H wave = 33.6452m

Standing Wave Height for Average Horizontal Velocity at Node Formula Elements

Variables

Constants

Wave Height

Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.

Symbol: H_wave

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height

Average Horizontal Velocity at a Node

Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.

Symbol: V'

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Average Horizontal Velocity at a Node

Water Depth at Harbor

Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth at Harbor

Natural Free Oscillating Period of a Basin

Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.

Symbol: T_n

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Natural Free Oscillating Period of a Basin

Wavelength

Wavelength is the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Wave Height

Go Standing Wave Height given Maximum Horizontal Particle Excursion at Node

H wave = \frac{2 \cdot π \cdot X}{T n} \cdot \sqrt{\frac{[g]}{d}}

Other formulas in Harbor Oscillations category

Go Maximum Oscillation Period corresponding to Fundamental Mode

T 1 = 2 \cdot \frac{L ba}{\sqrt{[g] \cdot D}}

Go Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

Go Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

d = \frac{{(2 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Go Period for Fundamental Mode

T n = \frac{4 \cdot L ba}{\sqrt{[g] \cdot d}}

How to Evaluate Standing Wave Height for Average Horizontal Velocity at Node?

Standing Wave Height for Average Horizontal Velocity at Node evaluator uses Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength to evaluate the Wave Height, The Standing Wave Height for Average Horizontal Velocity at Node formula is defined as the result of two equal waves traveling in opposite directions. In this case, you get the usual up-and-down motion of the water surface, but the waves do not progress. These standing waves are common in coastal areas where waves reflect off seawalls, ship hulls, or breakwaters. Wave Height is denoted by H_wave symbol.

How to evaluate Standing Wave Height for Average Horizontal Velocity at Node using this online evaluator? To use this online evaluator for Standing Wave Height for Average Horizontal Velocity at Node, enter Average Horizontal Velocity at a Node (V'), Water Depth at Harbor (d), Natural Free Oscillating Period of a Basin (T_n) & Wavelength (λ) and hit the calculate button.

FAQs on Standing Wave Height for Average Horizontal Velocity at Node

What is the formula to find Standing Wave Height for Average Horizontal Velocity at Node?

The formula of Standing Wave Height for Average Horizontal Velocity at Node is expressed as Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength. Here is an example- 33.64523 = (49.7*pi*1.05*5.5)/26.8.

How to calculate Standing Wave Height for Average Horizontal Velocity at Node?

With Average Horizontal Velocity at a Node (V'), Water Depth at Harbor (d), Natural Free Oscillating Period of a Basin (T_n) & Wavelength (λ) we can find Standing Wave Height for Average Horizontal Velocity at Node using the formula - Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength. This formula also uses Archimedes' constant .

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

Wave Height=(2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor)

Can the Standing Wave Height for Average Horizontal Velocity at Node be negative?

No, the Standing Wave Height for Average Horizontal Velocity at Node, measured in Length cannot be negative.

Which unit is used to measure Standing Wave Height for Average Horizontal Velocity at Node?

Standing Wave Height for Average Horizontal Velocity at Node is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Standing Wave Height for Average Horizontal Velocity at Node can be measured.

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Standing Wave Height for Average Horizontal Velocity at Node Formula

​GoStanding Wave Height given Maximum Horizontal Particle Excursion at Node Formula

Standing Wave Height for Average Horizontal Velocity at Node Example

Standing Wave Height for Average Horizontal Velocity at Node Solution

Standing Wave Height for Average Horizontal Velocity at Node Formula Elements

Other Formulas to find Wave Height

Other formulas in Harbor Oscillations category

How to Evaluate Standing Wave Height for Average Horizontal Velocity at Node?

FAQs on Standing Wave Height for Average Horizontal Velocity at Node

Variable Name

GoStanding Wave Height given Maximum Horizontal Particle Excursion at Node Formula